Evaluation of the thermal and mechanical waves in anisotropic fiber-reinforced magnetic viscoelastic solid with temperature-dependent properties using the MGT thermoelastic model
The main objective of the current paper is to provide a modified thermo-viscoelastic mathematical model based on the Moore-Gibson-Thompson (MGT) equation to study the behavior of fiber-reinforced viscoelastic media. To describe the viscoelastic behavior of the fiber-reinforced material, the Kelvin-V...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-08-01
|
| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X22004336 |
| _version_ | 1818469473100759040 |
|---|---|
| author | Ahmed E. Abouelregal Meshari Alesemi |
| author_facet | Ahmed E. Abouelregal Meshari Alesemi |
| author_sort | Ahmed E. Abouelregal |
| collection | DOAJ |
| description | The main objective of the current paper is to provide a modified thermo-viscoelastic mathematical model based on the Moore-Gibson-Thompson (MGT) equation to study the behavior of fiber-reinforced viscoelastic media. To describe the viscoelastic behavior of the fiber-reinforced material, the Kelvin-Voigt type is used. The relaxation time coefficient is included in the Green and Naghdi type III model (GN-III) to solve the problem of the infinite velocity propagation of heat waves. For an infinite viscosity-reinforced elastic solid with a cylindrical cavity, the proposed model was applied to investigate the effects of thermo-mechanical coupling and thermal relaxation coefficients on the studied fields. The cavity surface is considered to be traction-free and subject to temperature changes that fluctuate harmoniously. The Laplace transform tool was used to find analytical solutions for the distributions of different physical fields. The inverse Laplace transforms were calculated numerically using the Fourier series approximation approach. The effect of viscosity and the frequency of heat pulses on the fields under study are shown graphically. A comparison was made between several related models to confirm the effectiveness of the proposed system by presenting the numerical results in tables. |
| first_indexed | 2024-04-13T21:25:07Z |
| format | Article |
| id | doaj.art-88af9289595b47068c1a979108915c26 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-04-13T21:25:07Z |
| publishDate | 2022-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-88af9289595b47068c1a979108915c262022-12-22T02:29:21ZengElsevierCase Studies in Thermal Engineering2214-157X2022-08-0136102187Evaluation of the thermal and mechanical waves in anisotropic fiber-reinforced magnetic viscoelastic solid with temperature-dependent properties using the MGT thermoelastic modelAhmed E. Abouelregal0Meshari Alesemi1Department of Mathematics, College of Science and Arts, Al-Qurayat, Jouf University, Saudi Arabia; Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt; Corresponding author. Department of Mathematics, College of Science and Arts, Al-Qurayat, Jouf University, Saudi Arabia.Department of Mathematics, College of Science, University of Bisha, Bisha, Saudi ArabiaThe main objective of the current paper is to provide a modified thermo-viscoelastic mathematical model based on the Moore-Gibson-Thompson (MGT) equation to study the behavior of fiber-reinforced viscoelastic media. To describe the viscoelastic behavior of the fiber-reinforced material, the Kelvin-Voigt type is used. The relaxation time coefficient is included in the Green and Naghdi type III model (GN-III) to solve the problem of the infinite velocity propagation of heat waves. For an infinite viscosity-reinforced elastic solid with a cylindrical cavity, the proposed model was applied to investigate the effects of thermo-mechanical coupling and thermal relaxation coefficients on the studied fields. The cavity surface is considered to be traction-free and subject to temperature changes that fluctuate harmoniously. The Laplace transform tool was used to find analytical solutions for the distributions of different physical fields. The inverse Laplace transforms were calculated numerically using the Fourier series approximation approach. The effect of viscosity and the frequency of heat pulses on the fields under study are shown graphically. A comparison was made between several related models to confirm the effectiveness of the proposed system by presenting the numerical results in tables.http://www.sciencedirect.com/science/article/pii/S2214157X22004336Fiber-reinforced materialThermo-viscoelasticMGT thermoelasticityGN-III model |
| spellingShingle | Ahmed E. Abouelregal Meshari Alesemi Evaluation of the thermal and mechanical waves in anisotropic fiber-reinforced magnetic viscoelastic solid with temperature-dependent properties using the MGT thermoelastic model Case Studies in Thermal Engineering Fiber-reinforced material Thermo-viscoelastic MGT thermoelasticity GN-III model |
| title | Evaluation of the thermal and mechanical waves in anisotropic fiber-reinforced magnetic viscoelastic solid with temperature-dependent properties using the MGT thermoelastic model |
| title_full | Evaluation of the thermal and mechanical waves in anisotropic fiber-reinforced magnetic viscoelastic solid with temperature-dependent properties using the MGT thermoelastic model |
| title_fullStr | Evaluation of the thermal and mechanical waves in anisotropic fiber-reinforced magnetic viscoelastic solid with temperature-dependent properties using the MGT thermoelastic model |
| title_full_unstemmed | Evaluation of the thermal and mechanical waves in anisotropic fiber-reinforced magnetic viscoelastic solid with temperature-dependent properties using the MGT thermoelastic model |
| title_short | Evaluation of the thermal and mechanical waves in anisotropic fiber-reinforced magnetic viscoelastic solid with temperature-dependent properties using the MGT thermoelastic model |
| title_sort | evaluation of the thermal and mechanical waves in anisotropic fiber reinforced magnetic viscoelastic solid with temperature dependent properties using the mgt thermoelastic model |
| topic | Fiber-reinforced material Thermo-viscoelastic MGT thermoelasticity GN-III model |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X22004336 |
| work_keys_str_mv | AT ahmedeabouelregal evaluationofthethermalandmechanicalwavesinanisotropicfiberreinforcedmagneticviscoelasticsolidwithtemperaturedependentpropertiesusingthemgtthermoelasticmodel AT mesharialesemi evaluationofthethermalandmechanicalwavesinanisotropicfiberreinforcedmagneticviscoelasticsolidwithtemperaturedependentpropertiesusingthemgtthermoelasticmodel |